Atkin-Lehner |
2+ 3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
5550r |
Isogeny class |
Conductor |
5550 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2160 |
Modular degree for the optimal curve |
Δ |
346875000 = 23 · 3 · 58 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -2 5 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-326,2048] |
[a1,a2,a3,a4,a6] |
Generators |
[2:36:1] |
Generators of the group modulo torsion |
j |
9765625/888 |
j-invariant |
L |
3.2890199009555 |
L(r)(E,1)/r! |
Ω |
1.6613396432557 |
Real period |
R |
0.65991320404339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44400bu1 16650cj1 5550ba1 |
Quadratic twists by: -4 -3 5 |